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arXiv · 2504.06482

Failure of Boundedness for Generalised Log Canonical Surfaces

Christopher Hacon·Xiaowei Jiang
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Abstract

In this paper, we construct counterexamples to the boundedness of generalised log canonical models of surfaces with fixed appropriate invariants, where the underlying varieties can have arbitrary Kodaira dimension. This answers a question of Birkar and the first author.

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Christopher Hacon, Xiaowei Jiang. 2025-04-08. Failure of Boundedness for Generalised Log Canonical Surfaces. https://arxiv.org/abs/2504.06482

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